Find her distance x from the pole

Question

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. Find her distance x from the pole

 

 

I tried so many times but its all wrong

Answer 1

Jeason, draw a picture and use the law of sines. I bet tou can get it!

Answer 2

Jason.....Draw the Degrees of the angles to get an idea ..lik draw a triangle

 

     and use the law of Sines    Sin=  opp                                                                  

                                                          _____

                                                            hyp                                                                   

Side  a = 65 ft                                                                           

 

 

   Angle A=  18 Degrees

 

   Angle b=  14  Degrees                                                                                    

 

                                                Sin 14 Degrees =  65  

                                                                             ____                                                         

                                                                             C                                                                    

 

   Sin 14 Degrees is approx.=0.242          0.242   =  65                                

                                                                                   ____                                              

                                                                                      c                                                            

 

                                                           0.242c     =65

                                                       ________    _______

                                                         0.242          0.242                     

 

                                                        c        =  268.6  ft.          (Just draw a triangle with the info you have)

 

I believe you can do the rest now.....

                        

Answer 3

Draw a picture. From the information you can create two right  triangles.
The top triangle has a vertical leg of "65-y", an angle opposite of 18 degrees,
and a horizontal leg of x (the distance from the lady to the pole).
So tan(18) = (65-y)/x

The bottom triangle has a verticle leg of "y", an angle opposite of 14 deg.
and a horizontal leg of "x".
So tan(14) = (y)/x